A:
Positive:
1 x 2334450255 x 4668900511 x 2122227525 x 933780137 x 630932555 x 4244455185 x 1261865275 x 848891407 x 573575925 x 2523732035 x 11471510175 x 22943
Negative:
-1 x -233445025-5 x -46689005-11 x -21222275-25 x -9337801-37 x -6309325-55 x -4244455-185 x -1261865-275 x -848891-407 x -573575-925 x -252373-2035 x -114715-10175 x -22943
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 233,445,025, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 233,445,025 | |
| -1 | -233,445,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,445,025.
Example:
1 x 233,445,025 = 233,445,025
and
-1 x -233,445,025 = 233,445,025
Notice both answers equal 233,445,025
With that explanation out of the way, let's continue. Next, we take the number 233,445,025 and divide it by 2:
233,445,025 ÷ 2 = 116,722,512.5
If the quotient is a whole number, then 2 and 116,722,512.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 233,445,025 | |
| -1 | -233,445,025 |
Now, we try dividing 233,445,025 by 3:
233,445,025 ÷ 3 = 77,815,008.3333
If the quotient is a whole number, then 3 and 77,815,008.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 233,445,025 | |
| -1 | -233,445,025 |
Let's try dividing by 4:
233,445,025 ÷ 4 = 58,361,256.25
If the quotient is a whole number, then 4 and 58,361,256.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 233,445,025 | |
| -1 | 233,445,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 37 | 55 | 185 | 275 | 407 | 925 | 2,035 | 10,175 | 22,943 | 114,715 | 252,373 | 573,575 | 848,891 | 1,261,865 | 4,244,455 | 6,309,325 | 9,337,801 | 21,222,275 | 46,689,005 | 233,445,025 |
| -1 | -5 | -11 | -25 | -37 | -55 | -185 | -275 | -407 | -925 | -2,035 | -10,175 | -22,943 | -114,715 | -252,373 | -573,575 | -848,891 | -1,261,865 | -4,244,455 | -6,309,325 | -9,337,801 | -21,222,275 | -46,689,005 | -233,445,025 |
Here are some more numbers to try:
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